Things could still be all right.
It could be completely innocent and he has planned something your sister, his wife may have wanted. He planned something 3+ weeks in advanced so doubtful he was thinking of doing something to upset you or your mum especially if there isn’t any tension between him and her.
He probably was focused on his wife, maybe discussed it with and went with what she said and maybe thought you would likely plan something yourself for your sister or your mum would and you both would discuss it with her.
I don’t know what your dynamic is when it comes to communication with him. I know my own family don’t call my DH and I don’t call my in-laws either without our spouse around and when that does happen it is usually them calling to talk to the grandchildren. We do text but when it comes to birthdays or the planning of birthdays, no.
Afaik, my in-laws are the same with the spouses of their children. I’ve yet to hear them in almost 15 years call their children’ spouses on the phone and vice versa.
When it comes to birthdays, I only talk to my own family about it and DH, it wouldn’t occur to me to talk to my in-laws about it and when DH has had his birthdays, I ask him what he wants to do, but our families do live far away so that does make some difference.